33130433064960 has 4368 divisors, whose sum is σ = 158726042000640. Its totient is φ = 6548143472640.

The previous prime is 33130433064913. The next prime is 33130433065003. The reversal of 33130433064960 is 6946033403133.

33130433064960 is a `hidden beast` number, since 3 + 3 + 1 + 304 + 330 + 6 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 185086218151 + ... + 185086218329.

Almost surely, 2^{33130433064960} is an apocalyptic number.

33130433064960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33130433064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79363021000320).

33130433064960 is an abundant number, since it is smaller than the sum of its proper divisors (125595608935680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33130433064960 is a wasteful number, since it uses less digits than its factorization.

33130433064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 33130433064960 in words is "thirty-three trillion, one hundred thirty billion, four hundred thirty-three million, sixty-four thousand, nine hundred sixty".